Results 61 to 70 of about 24,623 (305)
Information Dynamics and Learning in Complex Adaptive Systems: Toward a Transdisciplinary Framework
ABSTRACT This article develops a framework for understanding learning and adaptation in complex adaptive systems. Drawing from neuroscience, systems theory, information theory and quantum field theory, it examines how information processing, plasticity and systemic coherence emerge from distributed, nonlinear and feedback‐driven interactions. It argues
Anderson de Souza Sant'Anna
wiley +1 more source
Let R be a ring, and let C denote the center of R. R is said to have a prime center if whenever ab belongs to C then a belongs to C or b belongs to C. The structure of certain classes of these rings is studied, along with the relation of the notion of ...
Hazar Abu-Khuzam, Adil Yaqub
doaj +1 more source
Making Almost Commuting Matrices Commute [PDF]
Suppose two Hermitian matrices $A,B$ almost commute ($\Vert [A,B] \Vert \leq δ$). Are they close to a commuting pair of Hermitian matrices, $A',B'$, with $\Vert A-A' \Vert,\Vert B-B'\Vert \leq ε$? A theorem of H. Lin shows that this is uniformly true, in that for every $ε>0$ there exists a $δ>0$, independent of the size $N$ of the matrices, for ...
openaire +3 more sources
An Innovative Approach to Multi‐Valued Logic
The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
wiley +1 more source
Joint Distributions and Quantum Nonlocal Models
A standard result in quantum mechanics is this: if two observables are commuting then they have a classical joint distribution in every state. A converse is demonstrated here: If a classical joint distribution for the pair agrees with standard quantum ...
James D. Malley, Anthony Fletcher
doaj +1 more source
A Quasi-Commutative Ring That is Not Neo-Commutative [PDF]
An example of a ring that is quasi-commutative but not neo-commutative is given.
openaire +1 more source
Fused Collapsing for Wide BVH Construction
Abstract We propose a novel approach for constructing wide bounding volume hierarchies on the GPU by integrating a simple bottom‐up collapsing procedure within an existing binary bottom‐up BVH builder. Our approach directly constructs a wide BVH without traversing a temporary binary BVH as done by previous approaches and achieves 1.4 – 1.6 × lower ...
Wilhem Barbier, Mathias Paulin
wiley +1 more source
The cubed commutativity degree of dihedral groups
Let G be a finite group. The commutativity degree of a group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group ...
Hamid, M. A. +7 more
core +1 more source
Some metric characterizations of commutativity in C*-algebras [PDF]
We study Le Page's theorem in the context of C*-algebras and obtain several characterizations of commutativity and centrality implied by identities or inequalities satisfied by the norm.
Florin Pop
doaj
Lie Ideals and Homoderivations in Semiprime Rings
Let S be a 2-torsion free semiprime ring and U be a noncentral square-closed Lie ideal of S. An additive mapping ℏ on S is defined as a homoderivation if ℏ(ab)=ℏ(a)ℏ(b)+ℏ(a)b+aℏ(a) for all a,b∈S. In the present paper, we shall prove that ℏ is a commuting
Ali Yahya Hummdi +4 more
doaj +1 more source

